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Shock and Vibration
Volume 20, Issue 4, Pages 749-761
http://dx.doi.org/10.3233/SAV-130782

Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator

Angelo Marcelo Tusset,1 Átila Madureira Bueno,1 Claudinor Bitencourt Nascimento,1 Mauricio dos Santos Kaster,1 and José Manoel Balthazar2

1Departamento de Engenharia Eletrônica, Universidade Tecnológica Federal do Paraná, Ponta Grossa, Paraná, Brazil
2Departamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociências e Ciências Exatas, Rio Claro, Rio de Janeiro, Brazil

Received 3 October 2012; Revised 24 January 2013; Accepted 29 January 2013

Copyright © 2013 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [24 citations]

The following is the list of published articles that have cited the current article.

  • J. L. P. Felix, E. L. Silva, J. M. Balthazar, A. M. Tusset, A. M. Bueno, and R. M. L. R. F. Brasil, “On nonlinear dynamics and control of a robotic arm with chaos,” MATEC Web of Conferences, vol. 16, pp. 05002, 2014. View at Publisher · View at Google Scholar
  • Kleber dos Santos Rodrigues, José Manoel Balthazar, Angelo Marcelo Tusset, Bento Rodrigues de Pontes, and Átila Madureira Bueno, “Preventing Chaotic Motion in Tapping-Mode Atomic Force Microscope,” Journal of Control, Automation and Electrical Systems, 2014. View at Publisher · View at Google Scholar
  • Jianxin Han, Qichang Zhang, and Wei Wang, “Design considerations on large amplitude vibration of a doubly clamped microresonator with two symmetrically located electrodes,” Communications in Nonlinear Science and Numerical Simulation, 2014. View at Publisher · View at Google Scholar
  • José Manoel Balthazar, Dailhane Grabowski Bassinello, Angelo Marcelo Tusset, Átila Madureira Bueno, and Bento Rodrigues Pontes Junior, “Nonlinear control in an electromechanical transducer with chaotic behaviour,” Meccanica, 2014. View at Publisher · View at Google Scholar
  • H. L. Dai, A. Abdelkefi, L. Wang, and W. B. Liu, “Time-delay feedback controller for amplitude reduction in vortex-induced vibrations,” Nonlinear Dynamics, 2014. View at Publisher · View at Google Scholar
  • Jeferson J. de Lima, Angelo M. Tusset, Frederic C. Janzen, Vinicius Piccirillo, Claudinor B. Nascimento, Jose M. Balthazar, Reyolando M. L. R. da Fonseca Brasil, Jeferson J. de Lima, Angelo M. Tusset, Frederic C. Janzen, Vinicius Piccirillo, Claudinor B. Nascimento, Jose M. Balthazar, and Reyolando M. L. R. da Fonseca Brasil, “Sdre Control Strategy Applied To A Nonlinear Robotic Including Drive Motor,” 10Th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (Icnpaa 2014), vol. 1637, pp. 565–574, 2014. View at Publisher · View at Google Scholar
  • Frederic C. Janzen, Ângelo M. Tusset, Vinicius Piccirillo, José M. Balthazar, Bento R. De Pontes, Marcos Silveira, and Reyolando M.L.R.F. Brasil, “Control of slewing motions of flexible structures using shape memory alloy,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4B, 2014. View at Publisher · View at Google Scholar
  • Dumitru I. Caruntu, and Christian Reyes, “Rom of electrostatically actuated MEMS resonators under simultaneous resonances,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4A, 2014. View at Publisher · View at Google Scholar
  • Dumitru I. Caruntu, and Christian Reyes, “Voltage response of mems resonators under simultaneous resonances,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4B, 2014. View at Publisher · View at Google Scholar
  • F.C. Janzen, A.M. Tusset, V. Piccirillo, J.M. Balthazar, and R.M.L.R.F. Brasil, “Motion and vibration control of a slewing flexible structure by SMA actuators and parameter sensitivity analysis,” The European Physical Journal Special Topics, vol. 224, no. 14-15, pp. 3041–3054, 2015. View at Publisher · View at Google Scholar
  • Y. S. Hamed, A. T. EL-Sayed, and E. R. El-Zahar, “On controlling the vibrations and energy transfer in MEMS gyroscope system with simultaneous resonance,” Nonlinear Dynamics, 2015. View at Publisher · View at Google Scholar
  • Rafael Henrique Avanço, Hélio Aparecido Navarro, Reyolando M. L. R. F. Brasil, José Manoel Balthazar, Átila Madureira Bueno, and Angelo Marcelo Tusset, “Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism,” Meccanica, 2015. View at Publisher · View at Google Scholar
  • Dumitru I. Caruntu, and Christian Reyes, “Reduced order model of frequency response of superharmonic resonance of electrostatically actuated mems resonators,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4, 2015. View at Publisher · View at Google Scholar
  • Kouamana Bousson, and Carlos Velosa, “Robust Control and Synchronization of Chaotic Systems with Actuator Constraints,” Handbook of Research on Artificial Intelligence Techniques and Algorithms, pp. 1–43, 2015. View at Publisher · View at Google Scholar
  • Dr Santo, Jm Balthazar, Am Tusset, V Piccirilo, Rmlrf Brasil, and M Silveira, “On nonlinear horizontal dynamics and vibrations control for high-speed elevators,” Journal of Vibration and Control, vol. 24, no. 5, pp. 825–838, 2016. View at Publisher · View at Google Scholar
  • Angelo Marcelo Tusset, VinÍCius Piccirillo, and Jose Manoel Balthazar, “ A NOTE ON SDRE CONTROL APPLIED IN PREDATOR–PREY MODEL: BIOLOGICAL CONTROL OF SPIDER MITE PANONYCHUS ULMI ,” Journal of Biological Systems, pp. 1–12, 2016. View at Publisher · View at Google Scholar
  • Yuliang Liu, and Qiguo Yao, “Research on chaos and nonlinear rolling stability of a rotary-molded boat,” Nonlinear Dynamics, vol. 84, no. 3, pp. 1373–1382, 2016. View at Publisher · View at Google Scholar
  • Angelo Marcelo Tusset, Átila Madureira Bueno, João Paulo Martins dos Santos, Masayoshi Tsuchida, and José Manoel Balthazar, “A non-ideally excited pendulum controlled by SDRE technique,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2016. View at Publisher · View at Google Scholar
  • Vinícius Piccirillo, Danuta Sado, Jorge Luis Palacios Felix, Angelo Marcelo Tusset, Atila Madureira Bueno, José Manoel Balthazar, and Reyolando Manoel Lopes Rebello Da Fonseca Brasil, “Chaos control and sensitivity analysis of a double pendulum arm excited by an RLC circuit based nonlinear shaker,” JVC/Journal of Vibration and Control, vol. 22, no. 17, pp. 3621–3637, 2016. View at Publisher · View at Google Scholar
  • Alexandre C. Alves, Jose M. Balthazar, Angelo M. Tusset, Rodrigo T. Rocha, and Atila M. Bueno, “On dynamic modelling of compressed air engine with connectingrod-crank to control angular position of oscillating rotation,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4B, 2016. View at Publisher · View at Google Scholar
  • Rodrigo T. Rocha, Frederic C. Janzen, Jeferson J. Lima, Angelo M. Tusset, Dailhane G. Bassinello, and Jose M. Balthazar, “Position control of a manipulator robotic arm considering flexible joints driven by a dc motor and a controlled torque by a mr-brake,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4B, 2016. View at Publisher · View at Google Scholar
  • Jose Manoel Balthazar, Angelo M. Tusset, Vinicius Piccirillo, and Dailhane G. Bassinello, “Dynamic analysis of a fractional-order MEMS system using 0-1 TEST,” Proceedings of the ASME Design Engineering Technical Conference, vol. 8, 2016. View at Publisher · View at Google Scholar
  • Dumitru I. Caruntu, and Christian Reyes, “Voltage response of superharmonic resonance of electrostatically actuated mems resonator cantilevers using the method of multiple scales,” ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, vol. 1, 2016. View at Publisher · View at Google Scholar
  • Alexandre de Castro Alves, Angelo Marcelo Tusset, Jose Manoel Balthazar, Jeferson Jose de Lima, Frederic Conrad Janzen, Rodrigo Tumolin Rocha, and Airton Nabarrete, “SDRE Control Applied to the Wheel Speed of a Compressed Air Engine with Crank-Connecting-Rod Mechanism,” Shock and Vibration, vol. 2017, pp. 1–14, 2017. View at Publisher · View at Google Scholar